Modeling Nonlinear Dynamics and Chaos: A Review

Modeling Nonlinear Dynamics and Chaos: A Review

Nonlinear Dynamics and Chaos

Throughout much of ecology’s history, most ecologists have believed that ecological systems tend towards an equilibrium – a notion popularized as ‘the balance of nature’ – and that deviations from that equilibrium are caused by external perturbations. By assuming that systemswere close to equilibrium, ecologists coulddescribe them with linear models that were mathematically tractable. However, ...

Chaos without nonlinear dynamics.

A linear, second-order filter driven by randomly polarized pulses is shown to generate a waveform that is chaotic under time reversal. That is, the filter output exhibits determinism and a positive Lyapunov exponent when viewed backward in time. The filter is demonstrated experimentally using a passive electronic circuit, and the resulting waveform exhibits a Lorenz-like butterfly structure. Th...

Experimental approach to nonlinear dynamics and chaos

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Digital Communication using Chaos and Nonlinear Dynamics

Digital communication using synchronized chaos is reviewed on the example of an optoelectronic transceiver and a wireless transceiver that utilizes chaotic pulse position modulation. Challenges that arise due to noise and other distortions occurring in the communication channel are pointed out and ways to improve the noise characteristics of the synchronization and to make chaos communication r...