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math.DS2022★ 6 cited
Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise
Dennis Chemnitz, Maximilian Engel
We prove the positivity of Lyapunov exponents for the normal form of a Hopf bifurcation, perturbed by additive white noise, under sufficiently strong shear strength. This completes…
math.DS2022
The conditioned Lyapunov spectrum for random dynamical systems
Matheus M. Castro, Dennis Chemnitz, Hugo Chu +3
We establish the existence of a full spectrum of Lyapunov exponents for memoryless random dynamical systems with absorption. To this end, we crucially embed the process conditioned…