2019

1. Parametric perturbation in a model that describes the neuronal membrane potential. Physica A, 515, 519-525, 2019.

2. Nonlinear cancer chemotherapy: Modelling the Norton-Simon hypothesis. Communications in Nonlinear Science and Numerical Simulation, 70, 307-317, 2019.

3. Numerical simulations of the linear drift memristor model.  European Physical Journal Plus, 134, 102, 2019.

4. On a non-ideal magnetic levitation system: nonlinear dynamical behavior and energy harvesting analyses. Nonlinear Dynamics, 1, 1-16, 2019.

5. Synchronisation of coupled neurons in a master-slave configuration, Mathematics in Engineering, Science and Aerospace,10, 1: 55-64, 2019.

6. Bistable firing pattern in a neural network model. Frontiers In Computational Neuroscience, 13, 19, 2019.

7. Spike-burst chimera states in an adaptive exponential integrate-and-fire neuronal network, Chaos, 29, 043106, 2019.

8. Using rotation number to detect sticky orbits in Hamiltonian systems, Chaos, 29, 043125, 2019.

9. Análise Wavelet de Tacogramas Teóricos e Experimentais. Cap. 22. e-book (Educação matemática e suas tecnologias II). Atena Editora, 2019.

10. The role of dose-density in combination cancer chemotherapy. Communications in Nonlinear Science and Numerical Simulation, 104918, 2019.

11. Dragon-kings death in nonlinear wave interactions. Physica A, 122296, 2019.

12. Self-sustained activity of low firing rate in balanced networks. Physica A, 122671, 2019.

 

2018

1. Stochastic resonance in dissipative drift motion. Communications in Nonlinear Science and Numerical Simulation, 54, 62-69, 2018.

2. Mathematical model with autoregressive process for electrocardiogram signals. Communications in Nonlinear Science and Numerical Simulation, 57, 415-421, 2018.

3. Dynamical characterization of transport barriers in nontwist Hamiltonian systems. Physical Review  E, 97, 012214, 2018.

4. A network of networks model to study phase synchronization using structural connection matrix of human brain. Physica A, 496, 162-170, 2018.

5. Inference of topology and the nature of synapses, and the flow of information in neuronal networks. Physical Rewiew E, 97, 022303, 2018.

6. Symplectic Maps for Diverted Plasmas. IEEE Transactions on Plasma Science, PP, 1-8, 2018.

7. How synapses can enhance sensibility of a neural network. Physica A, 492, 1045-1052, 2018.

8. Building phase synchronization equivalence between coupled bursting neurons and phase oscillators. Journal of Physics Communications, 2, 025014, 2018.

9. Synchronous behaviour in cortico-cortical connection network of the human brain, Physiological Measurements, 39,  074006, 2018.

10. Riddling: chimera’s dilemma, Chaos,  28, 081105, 2018.

11. Recurrence-based analysis of barrier breakup in the standard nontwist map, Chaos,  28, 085717, 2018.

12. Recurrence quantification analysis for the identification of burst phase synchronisation, Chaos, 28, 085701, 2018.

13. Alterations in brain connectivity due to plasticity and synaptic delay. European Physical Journal-Special Topics, 227, 673 , 2018.

14. Delayed feedback control of phase synchronisation in human brain. European Physical Journal-Special Topics, 227, 1151, 2018.

15. The dangerous path towards your own cryptography method , Mathematics in Engineering, Science and Aerospace9, 463-472, 2018 .

 

2017

1. Synchronization of phase oscillators with coupling mediated by a diffusing substance. Physica A, 470, 236-248, 2017.

2. Chimera-like states in a neuronal network model of the cat brain. Chaos Solitons & Fractals, 101, 86-91, 2017.

3. Characterization in bi-parameter space of a non-ideal oscillator. Physica A, 466, 224-231, 2017.

4. Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance. Nonlinear Dynamics, 87, 1589-1601, 2017.

5. Synchronised firing patterns in a random network of adaptive exponential integrate-and-fire neuron model. Neural Networks, 90, 1-7, 2017.

6. Spike timing-dependent plasticity induces non-trivial topology in the brain. Neural Networks, 88, 58-64, 2017.

7. The dose-dense principle in chemotherapy. Journal of Theoretical Biology, 430, 169-176, 2017.

8. Synaptic Plasticity and Spike Synchronisation in Neuronal Networks. Brazilian Journal of Physics, 47, 678-688, 2017.

9. Deterministic Chaos Theory: Basic Concepts. Revista Brasileira de Ensino de Física, 39, e1309-1-e1309-13, 2017.

 

2016

1. Unstable dimension variability structure in the parameter space of coupled Hénon maps. Applied Mathematics and Computation, 286, 23-28, 2016.

2. Transient chaotic transport in dissipative drift motion. Physics Letters A, 380, 1621-1626, 2016.

3. Effects of the spike timing-dependent plasticity on the synchronisation in a random Hodgkin-Huxley neuronal network. Communications in Nonlinear Science & Numerical Simulation, 34, 12-22, 2016.

4. Network and external perturbation induce burst synchronisation in cat cerebral cortex. Communications in Nonlinear Science & Numerical Simulation, 34, 45-54, 2016.

5. Suppression of phase synchronisation in network based on cat's brain. Chaos, 26, 043107, 2016.

 

2015

1. Mechanism for stickiness suppression during extreme events in Hamiltonian systems. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), 91, 062903, 2015.

2. Recurrence quantification analysis of chimera states. Physics Letters. A, 379, 2188-2192, 2015.

3. Efeito de um termo dissipativo no sistema Hamiltoniano de ondas de deriva. Revista Brasileira de Ensino de Física, 37, 2308, 2015.

4. Mathematical model of brain tumour with glia-neuron interactions and chemotherapy treatment. Journal of Theoretical Biology, 368, 113-121, 2015.

5. Complementary action of chemical and electrical synapses to perception. Physica A , 430, 236-241, 2015.

6. Sincronização de disparos em redes neuronais com plasticidade sináptica. Revista Brasileira de Ensino de Física, 37, 2310-1-2310-9, 2015.

7. Macroscopic bursting in physiological networks: node or network property? New Journal of Physics, 17, 055024, 2015.

8. Two distinct desynchronization processes caused by lesions in globally coupled neurons. Papers in Physics, 7, p. 070002, 2015.

9. Phase synchronization of coupled bursting neurons and the generalized Kuramoto model. Neural Networks, 66, 107, 2015.

 

2014

1. Dynamical Effects in Confined Plasma Turbulence. Brazilian Journal of Physics, v. xx, 2014.

2. Super persistent transient in a master-slave configuration with Colpitts oscillators. Journal of Physics A, Mathematical and Theoretical, 47, 405101, 2014.

3. Dynamic range in a neuron network with electrical and chemical synapses. Communications in Nonlinear Science & Numerical Simulation, 19, 164-172, 2014.

4. Model for tumour growth with treatment by continuous and pulsed chemotherapy. Biosystems, 116, 43-48, 2014.

5. Modelo de interação tumor-sistema imunológico. Revista SODEBRAS, 9, 25-30, 2014.

6. Dynamic range in small-world networks of Hodgkin-Huxley neurons with chemical synapses. Physica A, 410, 628-640, 2014.

7. Sincronização e memórias em osciladores Colpitts acoplados. Revista SODEBRAS, 9, 52-59, 2014.

8. Multiple-time-scale framework for understanding the progression of Parkinson's disease. Physical Review E, 90, 062709, 2014.

 

2013

1. Analysis of the influence of external biasing on Texas Helimak turbulence. Physics of Plasmas, 20, 022310, 2013.

2. Control of bursting synchronization in networks of Hodgkin-Huxley-type neurons with chemical synapses. Physical Review E, 87, 042713, 2013.

3. Torsion-adding and asymptotic winding number for periodic window sequences. Physics Letters. A (Print), 377, 628-631, 2013.

 

2012

1. Nontwist symplectic maps in tokamaks. Communications in Nonlinear Science & Numerical Simulation, 17, 2021-2030, 2012.

2. Synchronization of Chaos and the transition to Wave Turbulence. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 22, 1250234, 2012.

3. Anomalous transport induced by nonhyperbolicity. Physical Review E, 86, 016216, 2012.

4. Transport barriers in plasmas. Journal of Physics Conference Series, 370, 012001, 2012.

5. Effective transport barriers in nontwist systems. Physical Review E, 86, 036206, 2012.

6. Shearless transport barriers in magnetically confined plasmas. Plasma Physics and Controlled Fusion, 54, 124035, 2012.

7. Finite-time rotation number: A fast indicator for chaotic dynamical structures. Physics Letters A, 377, 452-456, 2012.

8. Dynamical analysis of turbulence in fusion plasmas and nonlinear waves. Communications in Nonlinear Science & Numerical Simulation, 17, 4690-4699, 2012.

9. The influence of connectivity on the firing rate in a neuronal network with electrical and chemical synapses. Physica A, 391, 819-827, 2012.

10. Bursting synchronization in networks with long-range coupling mediated by a diffusing chemical substance. Communications in Nonlinear Science & Numerical Simulation, 17, 2924-2942, 2012.

11. Self-organized criticality in MHD driven plasma edge turbulence. Physics Letters A, 376, 753-757, 2012.

12. Phase synchronization of bursting neurons in clustered small-world networks. Physical Review E, 86, 016211, 2012.

13. Chaos-based communication systems in non-ideal channels. Communications in Nonlinear Science & Numerical Simulation, 17, 4707-4718, 2012.

14. Suppression of bursting synchronization in clustered scale-free (rich-club) neuronal networks. Chaos, 22, 043149-1-043149-12, 2012.

15. Microcantilever Chaotic Motion suppression in tapping mode atomic force microscope. Journal of Mechanical Engineering Science, 1, 1-12, 2012.

16. Self-similarities of periodic structures for a discrete model of a two-gene system. Physics Letters. A (Print), 376, 1290-1294, 2012.

 

2011

1. Blowout bifurcation and spatial mode excitation in the bubbling transition to turbulence. Physica A, 390, 365-373, 2011.

2. Dynamical analysis of turbulence in fusion plasmas and nonlinear waves. Communications in Nonlinear Science & Numerical Simulation, Online, Online, 2011.

3. Radial dependence of self-organized criticality behavior in TCABR tokamak. Journal of Physics. Conference Series, 285, 1-7, 2011.

4. On a cellular automaton with time delay for modelling cancer tumors. Journal of Physics. Conference Series, 285, 1-10, 2011.

5. Discrete-time chaotic systems synchronization performance under additive noise. Signal Processing, 91, 2127-2131, 2011.

6. Evolução temporal da distância de Hamming para o caso de células tumorais. DINCON - Conferência Brasileira de Dinâmica, Controle e Aplicações, 1, 767-769, 2011.

7. Modelo com quimioterapia para o crescimento do câncer. DINCON - Conferência Brasileira de Dinâmica, Controle e Aplicações, 1, 759-762, 2011.

8. Locking-time and Information Capacity in CML with Statistical Periodicity. Journal of Physics. Conference Series, 285, 012043, 2011.

9. Replicate periodic windows in the parameter space of driven oscillators. Chaos, Solitons and Fractals, 44, 982-989, 2011.

 

2010

1. Delayed feedback control of bursting synchronization in a scale-free neuronal network. Neural Networks, 23, 114-124, 2010.

2. Controlling chaotic bursting in map-based neuron network models. Series on Stability, Vibration and Control of Systems, Series B, 16, 291-314, 2010.

3. Supressão de células cancerígenas em autômato celular. Publicatio UEPG - Ciências Exatas e da Terra, Agrárias e Engenharias, 16, 81-87, 2010.

4. Periodic window arising in the parameter space of an impact oscillator. Physics Letters. A (Print), 374, 2628-2635, 2010.

 

2009

1. Transport properties in nontwist area-preserving maps. Chaos, 19, 043108, 2009.

2. Bursting synchronization in scale-free networks. Chaos, Solitons and Fractals, 41, 2220-2225, 2009.

3. Bicoherence in electrostatic turbulence driven by highmagnetohydrodynamic activity in Tokamak Chauffage Alfvén Brésilien. Physics of Plasmas, 16, 042508, 2009.

4. Synchronization and suppression of chaos in non-locally coupled map lattices. Pramana, 73, 999-1009, 2009.

5. Multistability and Self-Similarity in the Parameter-Space of a Vibro-Impact System. Mathematical Problems in Engineering (Print), 2009, 290356, 2009.

 

2008

1. Bubbling transition to spatial mode excitation in an extended dynamical system. Physica. D, Nonlinear phenomena (Print), v. 238, p. 516-525, 2008.

2. Low-dimensional chaos and wave turbulence in plasmas. Phil. Trans. Royal Society of London. Series A, Mathematical and Physical Sciences, 366, 609-620, 2008.

3. Collective behavior in coupled chaotic map lattices with random perturbations. Physica A, 387, 1655-1668, 2008.

4. Bursting synchronization in non-locally coupled maps. Physica A, 387, 4417-4428, 2008.

5. Short-time memories in a network with randomly distributed connections. Physical Review E, 78, 037102-1-4, 2008.

6. Control and chaos for vibro-impact and non-ideal oscillator. Journal of Theoretical and Applied Mechanics (Warsaw), 46, 641-664, 2008.

7. Suppressing grazing chaos in impacting system by structural nonlinearity. Chaos, Solitons and Fractals, 38, 864-869, 2008.

 

2007

1. Onset of spatiotemporal chaos in a nonlinear system. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 75, 067202, 2007.

2. Lyapunov spectrum of a lattice of chaotic systems with local and non-local couplings. Chaos, Solitons and Fractals, 32, 702-710, 2007.

3. Direction coherence in scale-free lattices of chaotic maps. Physica A, 383, p. 725-732, 2007.

4. Chaotic phase synchronization in scale-free networks of bursting neurons. Physical Review E, 76, 016218:1-10, 2007.

5. Transversal dynamics of a non-locally-coupled map lattice. Physical Review E, 76, 017202:1-4, 2007.

6. Transiente de memórias em rede com acoplamento local e não local. Publicatio UEPG. Ciências Exatas e da Terra, Ciências Agrárias e Engenharias, 13, 7-14, 2007.

7. Noise-induced basin hopping in a vibro-impact system. Chaos, Solitons and Fractals, 32, 758-767, 2007.

8. A simple feedback control for a chaotic oscillator with limited power supply. Journal of Sound and Vibration, 299, 664-671, 2007.

9. Damping control law for a chaotic impact oscillator. Chaos, Solitons and Fractals, 32, 745-750, 2007.

 

2006

1. Self-organized memories in coupled map lattices. Physica A, 368, 387-398, 2006.

2. Chaos synchronization in a lattice of piecewise linear maps with regular and random couplings. Physica A,  367, 145-157, 2006.

3. Nonlinear three-mode interaction and drift-wave turbulence in a tokamak edge plasma. Physics of Plasmas, 13, 042510, 2006.

4. Synchronization threshold in coupled logistic map lattices. Physica D, 223, 270-275, 2006.

5. Dynamics of vibrating systems with tuned liquid column dampers and limited power supply. Journal of Sound and Vibration, 289, 987-998, 2006.

 

2005

1. Finite-time Lyapunov spectrum for chaotic orbits of non-integrable Hamiltonian systems. Physics Letters A, 335, 394-401, 2005.

2. Short-term memories with a stochastic perturbation. Chaos, Solitons and Fractals, 23, 1689-1694, 2005.

3. Simulating a chaotic process. Brazilian Journal of Physics, 35, 139-147, 2005.

4. Noise-induced basin hopping in a gearbox model. Chaos, Solitons and Fractals, 26, 1523-1531, 2005.

5. Bubbling bifurcation: loss of synchronization and shadowing breakdown in complex systems. Physica D, 206, 94-108, 2005.

6. Some aspects of the synchronization in coupled maps. Physical Review E, 72, 037206, 2005.

7. Basins of attraction changes by amplitude constraining of oscillators with limited power supply. Chaos, Solitons and Fractals, 26, 1211-1220, 2005.

8. Impact dampers for controlling chaos in systems with limited power supply. Journal of Sound and Vibration, 279, 955-967, 2005.

 

2004

1. Chaos synchronization in long-range coupled map lattices. Physics Letters A,  326, 227-233, 2004.

2. Spatial correlations and synchronization in coupled map lattices with long-range interactions. Physica A,  343,  201-218, 2004.

3. Erratum: Analytical results for coupled-map lattices with long-rang interactions. Physical Review E, 68, 1-1, 2004.

4. Sudden changes in chaotic attractors and transient basins in a model for rattling in gearboxes. Chaos, Solitons and Fractals, 21, 763-772, 2004.

5. Calculation of Lyapunov exponents in systems with impacts. Chaos, Solitons and Fractals, 19, 569-579, 2004.

6.  Controlling Chaotic Orbits in Mechanical Systems with Impacts. Chaos, Solitons and Fractals, 19, 171-178, 2004.

 

2003

1. Mode locking in small-world networks of coupled circle maps. Physica A, 322, p. 118-128, 2003.

2. Analytical results for coupled-map lattices with long-range interactions. Physical Review E, 68, 1-4, 2003.

3. Validity of numerical trajectories in the synchronization transition of complex systems. Physical Review. E, 68, 067204, 2003.

 

2002

1. Short-term memories in lattices of inductively coupled AC-driven circuits. Physica A, 303, 410-420, 2002.

2. Lyapunov spectrum and synchronization of piecewise linear map lattices with power-law coupling. Physical Review E, 65, n.056209, 2002.

3. Kolmogorov-Sinai entropy for locally coupled piecewise linear maps. Physica A, 308, 125-134, 2002.

4. Analysis of regular and irregular dynamics of a non ideal gear rattling problem. J. Brazilian Society of Mechanical Sciences and Engineering, 24, 111-114, 2002.

 

2001

1. Lyapunov exponents of a lattice of chaotic maps with a power-law coupling. Physics Letters A, 286, 134-140, 2001.

2. Basins of attraction and transient chaos in a gear-rattling model. Journal of Vibration and Control, 7, 849-862, 2001.

 

2000

1. Multiple short-term memories in coupled weakly nonlinear map lattices. Physical Review E, 61, n.5, 1-4, 2000.

1998

1. Synchronization of Coupled Kicked Limit Cycle Systems. Chaos, Solitons and Fractals, 9, n.12, 1931-1944, 1998.

 

Publications

New submissions

1) Synchronization and Resonance in a Clustered Neuronal Network Perturbed by Delayed Feedback Signals. Chaos, Solitons & Fractals, 2018.

2) Tilted-hat mushroom billiards. Physical Review E, 2019.

3) Details of small-world features of structural connection matrices of the human brain. Physica A, 2019.

4) Mathematical model of brain tumour growth with drug resistance, Physica A, 2019.

5) Short-term and spike-timing-dependent plasticities facilitate the formation of modular neural networks, Chaos, 2019.

6) Bursting synchronisation in neuronal assemblies of scale-free networks, Communications in Nonlinear Science and Numerical Simulation, 2019.

105 group science