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Leonov's conjecture on the Lyapunov dimension of the Rössler attractor
Consider the Rössler system … is exactly … An available approach is to establish that the saddle-focus equilibrium $E_0$ possesses a homoclinic trajectory. The conjecture concerns…
Conjectureopendynamical-systems lyapunov-dimension rossler-systemarXiv posted 2 days ago
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Eden conjecture for systems with equilibria embedded in chaotic attractors
Consider a dynamical system with equilibria embedded in chaotic attractors, and let $d_L$ denote its Lyapunov dimension, defined by maximizing the Kaplan–Yorke expression over the…
Conjectureopenchaos dynamical-systems lyapunov-dimensionarXiv posted 2 days ago

Leonov's conjecture on the Lyapunov dimension of the Rössler attractor