We study the dynamics of two symmetrically coupled populations of identical leaky integrate-and-fire neurons characterized by an excitatory coupling. Upon varying the coupling strength, we find symmetry-breaking transitions that lead to the onset of various chimera states as well as to a new regime, where the two populations are characterized by a different degree of synchronization. Symmetric collective states of increasing dynamical complexity are also observed. The computation of the the finite-amplitude Lyapunov exponent allows us to establish the chaoticity of the (collective) dynamics in a finite region of the phase plane. The further numerical study of the standard Lyapunov spectrum reveals the presence of several positive exponents, indicating that the microscopic dynamics is high-dimensional.

Collective chaos in pulse-coupled neural networks / S.Olmi;A.Politi;A.Torcini. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - STAMPA. - 92:(2010), pp. 60007-1-60007-6. [10.1209/0295-5075/92/60007]

Collective chaos in pulse-coupled neural networks

OLMI, SIMONA;POLITI, ANTONIO;
2010

Abstract

We study the dynamics of two symmetrically coupled populations of identical leaky integrate-and-fire neurons characterized by an excitatory coupling. Upon varying the coupling strength, we find symmetry-breaking transitions that lead to the onset of various chimera states as well as to a new regime, where the two populations are characterized by a different degree of synchronization. Symmetric collective states of increasing dynamical complexity are also observed. The computation of the the finite-amplitude Lyapunov exponent allows us to establish the chaoticity of the (collective) dynamics in a finite region of the phase plane. The further numerical study of the standard Lyapunov spectrum reveals the presence of several positive exponents, indicating that the microscopic dynamics is high-dimensional.
2010
92
60007-1
60007-6
S.Olmi;A.Politi;A.Torcini
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/430974
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