Doutor em Física pela Universidade Federal do Paraná, com ênfase em Física Teórica. Tese versando sobre Bifurcações, multiestabilidade e sincronização caótica em sistemas dinâmicos discretos.

Dinâmica não linear e sistemas dinâmicos não lineares. O interesse principal está no estudo da dinâmica de sistemas contínuos, modelados por equações diferenciais, e sistemas discretos, modelados por mapas. Também há interesse na investigação de sincronização caótica e controle de caos em sistemas dinâmicos em geral.

Artigos científicos publicados/aceitos/submetidos/em preparação:


Endler A., Rech P. C., From Mandelbrot set to Arnold tongues (em preparação), 2012.

Rech P. C., The parameter-space of the three-parameter A2 symmetric flow, submetido para publicação, 2012.

Rech P. C., Organization of the periodicity in the parameter-space of a three-neuron Hopfield network, submetido para publicação, 2012.

Mathias A. C. , Rech P. C., Hopfield neural network: the hyperbolic tangent and the piecewise-linear activation functions, submetido para publicação, 2012.

da Silva R. A., Rech P. C., A parameter space analysis of the Rikitake system, submetido para publicaçao, 2012.

Rech P. C., Dynamics in the parameter-space of a neuron model, aceito no Chinese Physics Letters, vol. 29, 060506, 2012.

Albuquerque H. A., Rech P. C., Spiral periodic structure inside chaotic region in parameter-space of a Chua circuit, International Journal of Circuit Theory and Applications, vol. 40, p. 189, 2012.

Correia M. J., Rech, P. C., Numerical characterization of hyperchaotic states in parameter-space, Applied Mathematics and Computation, vol. 218, p. 6711, 2012.

Kr�ger T. S., Rech P. C., Dynamics of an erbium-doped fiber dual-ring laser, European Physical Journal D, v. 66(1), p. 12, 2012.

Casas G. A., Rech P. C., Multistability annihilation in the H�non map through parameter modulation, Communications in Nonlinear Science and Numerical Simulation, v. 17, p. 2570, 2012.

Brugnago E. L., Rech, P. C., Chaos suppression in a sine square map through a nonlinear coupling, Chinese Physics Letters, v. 28, 110506, 2011.

Rech P. C., Chaos and hyperchaos in a Hopfield neural network, Neurocomputing, v. 74, p. 3361, 2011.

Stegemann C., Albuquerque H. A., Rubinger R. M., Rech P. C., Lyapunov exponent diagrams of a 4-dimensional circuit model, Chaos: An Interdisciplinary Journal of Nonlinear Science, v. 21, 033105, 2011.

Casas G. A., Rech P. C., A parametrically modulated H�non map, Journal of Physics: Conference Series, v. 285, 012001, 2011.

Correia M. J., Rech, P. C., Characterization of hyperchaotic states in the parameter-space of a modified Lorenz system, Journal of Physics: Conference Series, v. 285, 012017, 2011.

Rech, P. C., Dynamics of a neuron model in different two-dimensional parameter-spaces, Physics Letters A, v. 375, p.1461, 2011.

Casas G. A., Rech P. C., Numerical Study of a Three-Dimensional H�non Map, Chinese Physics Letters, v. 28(1), 010203, 2011.

Correia M. J., Rech P. C., Hyperchaos in a new four-dimensional autonomous system, International Journal of Bifurcation and Chaos, v. 20(10), p.3295, 2010.

Rech, P. C., Self-similarities and period-adding in the parameter-space of a nonlinear resonant coupling process, International Journal of Nonlinear Science, v. 10(2), p.179, 2010.

Rech P. C., Beims M. W., Stability analysis under dilatation of coordinates, Journal of Physics: Conference Series, vol. 246, 012006, 2010.

Testoni G. E., Rech, P. C., Dynamics of a particular Lorenz type system, International Journal of Modern Physics C, vol. 21(7), p. 973, 2010.

Xavier J. C., Rech P. C., Chaos and hyperchaos in a symmetric coupling of three quadratic maps, Journal of Computational Interdisciplinary Sciences, v. 1(3), p. 225, 2010.

Stegemann C., Albuquerque H. A., Rech P. C., Some two-dimensional parameter spaces of a Chua system with cubic nonlinearity, Chaos: An Interdisciplinary Journal of Nonlinear Science, v. 20, 023103, 2010.

Xavier J. C., Rech P. C., Regular and chaotic dynamics in the Lorenz-Stenflo system, International Journal of Bifurcation and Chaos, v. 20, p.145, 2010.

Casas G. A., Rech P. C., Dynamics of asymmetric couplings of two H�non maps, International Journal of Bifurcation and Chaos, v. 20, p.153, 2010.

Rech P. C., Albuquerque H. A., A hyperchaotic Chua system, International Journal of Bifurcation and Chaos, v. 19, p. 3823, 2009.

Albuquerque H. A., Rech P. C., A Parameter-space of a Chua system with a smooth nonlinearity, International Journal of Bifurcation and Chaos, v. 19, p. 1351, 2009.

Rech P. C., A coupling of three quadratic maps, Chaos, Solitons and Fractals, v. 41, p. 1949, 2009.

Rosa C. , Correia M. J., Rech, P. C., Arnold tongues and quasiperiodicity in a prey predator model, Chaos, Solitons and Fractals, v. 40, p. 2041, 2009.

Albuquerque H. A., Rubinger R. M., Rech P. C., Self-similar structures in a 2D parameter-space of an inductorless Chua's circuit, Physics Letters A, v. 372, p. 4793, 2008.

Rech P. C., Chaos control in a discrete time system through asymmetric coupling, Physics Letters A, v. 372, p. 4434, 2008.

Rech, P. C., Naimark-Sacker bifurcations in a delay quartic map, Chaos, Solitons and Fractals, v. 37, p. 387, 2008.

Albuquerque, H. A., Rubinger, R. M., Rech, P. C., Theoretical and Experimental time series analysis of an inductorless Chua's circuit, Physica D v. 233, p. 66, 2007.

Rech, P. C., GALLAS, J. A. C., BEIMS, M. W., Generation of quasiperiodic oscillations in pairs of coupled maps, Chaos, Solitons and Fractals v. 33, p. 1394, 2007.

Rech, P. C., GALLAS, J. A. C., BEIMS, M. W., Basin size evolution between dissipative and conservative limits, Physical Review E v. 71, p. 17202, 2005.

V. Vessen M., Rech, P. C., BEIMS, M. W., GALLAS, J. A. C., Freire J. A., da Luz M. G. E., Lind P. G., The dynamics of complex-amplitude norm-preserving lattices of coupled oscillators, Physica A v. 338, p. 537-543, 2004.

Rech, P. C., BEIMS, M. W., GALLAS, J. A. C., Naimark-Sacker Bifurcations in Linearly Coupled Quadratic Maps, Physica A v. 342, p. 351-355, 2004.

Rech, P. C., GALLAS, J. A. C., BEIMS, M. W., Fractal and riddled basins: arithmetic signatures in the parameter space of two coupled quadratic maps, Physica A v. 295, p. 276-279, 2001.

Rech, P. C., BEIMS, M. W., GALLAS, J. A. C., Discovering parameter values by measuring self-similar structures in the phase-space of dissipative systems with constant Jacobian, Europhysics Letters v. 49, p. 702-707, 2000.

Rech, P. C., BEIMS, M. W., GALLAS, J. A. C., Recovering parameters from self-similar structures in phase-space of dissipatives systems with constant jacobian, Physica A v. 283, p. 252-252, 2000.

Rech, P. C., GALLAS, M., GALLAS, J. A. C., Rapidly converging bounds for the ground-state energy of hydrogenic atoms in superstrong magnetic fields, Physical Review Letters v. 62, p. 2198-2199, 1989.

Rech, P. C., GALLAS, M., GALLAS, J. A. C., Zeeman Diamagnetism in Hydrogen at arbitrary Field Strengths, Journal of Physics B v. 19, p. L215-L218, 1986.