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nlin.CD2026
Information transfer as a new indicator of approaching local bifurcations: saddle-node, pitchfork and Hopf bifurcations
Stéphane Vannitsem, Carlos A. Pires, X. San Liang
Early warning signals are key tools for anticipating qualitative changes in the dynamics of complex systems. In this work, we investigate whether an information-theoretic measure d…
nlin.CD2015★ 2 cited
Information flow and causality as rigorous notions ab initio
X. San Liang
Information flow (or information transfer as may be called) the widely applicable general physics notion can be rigorously derived from first principles, rather than axiomatically…
nlin.CD2010
Remarkable evolutionary laws of absolute and relative entropies with dynamical systems
X. San Liang
The evolution of entropy is derived with respect to dynamical systems. For a stochastic system, its relative entropy evolves in accordance with the second law of thermodynamics…