Each map is implemented to analyse its bifurcation diagram and Lyapunov exponent, which are key to understanding the dynamics and chaos within these systems. To analyse a specific map, run the ...
Abstract: Nonlinear dynamical systems with oscillatory (periodic, quasi-periodic and chaotic) responses are analyzed in this paper through the method of Lyapunov exponents. The main goal is to present ...
SIAM Journal on Applied Mathematics, Vol. 68, No. 4 (2008), pp. 1045-1079 (35 pages) In this paper we define a class of formal neuron models being computationally efficient and biologically plausible, ...
A detailed analysis and construction of the bifurcation diagram for a damped driven pendulum using Python. The damped driven pendulum, a classic example of a non-linear dynamic system, exhibits ...
The Holling-Tanner model for predator-prey systems has two Hopf bifurcation points for certain parameters. The dependence of the environmental parameters on the underlying bifurcation structure is ...
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