Add to ORKGAbstractNew computational technique [Shilnikov et al.(2012), Barrio et al.(2012)] based on the symbolic description utilizing kneading invariants is used for explo-rations of parametric chaos in a two exemplary systems with the Lorenz attractor: a normal model from mathematics, and a laser model from nonlinear optics. The technique allows for uncovering the stunning complexity and universality of the patterns discovered in the bi-parametric scans of the given models and detects their organizing centers – codimension-two T-points and separating saddles.
Chaos theory can be applied to various domains. But in order to do that, there is a great demand to ...
We study the family of Lozi maps ${{L}_{a,b}}:{{\mathbb{R}}^{2}}\to {{\mathbb{R}}^{2}}$ , ${{L}_{a,b...
Many novel chaotic systems have recently been identified and numerically studied. Parametric chaotic...
AbstractNew computational technique [Shilnikov et al.(2012), Barrio et al.(2012)] based on the symbo...
A new computational technique based on the symbolic description utilizing kneading invariants is pro...
Received (to be inserted by publisher) A new computational technique based on the symbolic descripti...
Abstract In this paper we examine spiral structures in bi-parametric diagrams of dissipative systems...
We present a case study elaborating on the multiplicity and self-similarity of homoclinic and hetero...
We explore the multifractal, self-similar organization of heteroclinic and homoclinic bifurcations o...
Using bi-parametric sweeping based on symbolic representation we reveal self-similar fractal structu...
The butterfly-like Lorenz attractor is one of the best known images of chaos. The computations in th...
Statistical characters of the intermittency in the Lorenz system are elucidated in terms of the mark...
A new approach to understanding nonlinear dynamics and strange attractors. The behavior of a physica...
The widespread presence of maps in discrete dynamical mo,dels needs the usage of efficient algorithm...
Chaotic attractors containing [special characters omitted]il\u27nikov\u27s saddle-focus homoclinic o...
Chaos theory can be applied to various domains. But in order to do that, there is a great demand to ...
We study the family of Lozi maps ${{L}_{a,b}}:{{\mathbb{R}}^{2}}\to {{\mathbb{R}}^{2}}$ , ${{L}_{a,b...
Many novel chaotic systems have recently been identified and numerically studied. Parametric chaotic...
AbstractNew computational technique [Shilnikov et al.(2012), Barrio et al.(2012)] based on the symbo...
A new computational technique based on the symbolic description utilizing kneading invariants is pro...
Received (to be inserted by publisher) A new computational technique based on the symbolic descripti...
Abstract In this paper we examine spiral structures in bi-parametric diagrams of dissipative systems...
We present a case study elaborating on the multiplicity and self-similarity of homoclinic and hetero...
We explore the multifractal, self-similar organization of heteroclinic and homoclinic bifurcations o...
Using bi-parametric sweeping based on symbolic representation we reveal self-similar fractal structu...
The butterfly-like Lorenz attractor is one of the best known images of chaos. The computations in th...
Statistical characters of the intermittency in the Lorenz system are elucidated in terms of the mark...
A new approach to understanding nonlinear dynamics and strange attractors. The behavior of a physica...
The widespread presence of maps in discrete dynamical mo,dels needs the usage of efficient algorithm...
Chaotic attractors containing [special characters omitted]il\u27nikov\u27s saddle-focus homoclinic o...
Chaos theory can be applied to various domains. But in order to do that, there is a great demand to ...
We study the family of Lozi maps ${{L}_{a,b}}:{{\mathbb{R}}^{2}}\to {{\mathbb{R}}^{2}}$ , ${{L}_{a,b...
Many novel chaotic systems have recently been identified and numerically studied. Parametric chaotic...