Add to ORKGAbstract: In this paper, the symmetry of steady-state solutions in non-smooth dynamical systems with two symmetrical constraints are investigated to obtain all possible stable and unstable motions. An invariant transformation exists in regular and chaotic motions relative to skew-symmetrical mapping pairs in symmetrical systems with harmonic excitations. This investigation provides a mathematical foundation for the symmetry of solutions in this class of non-smooth dynamical systems. The group structure of mapping combinations should be further investigated
We examine the existence of nonsymmetric and symmetric steady state solutions of a general class of ...
This thesis is divided in three main parts. In the first part, we study equivariant forced systems o...
Going back to Henri Poincaré, the main concern of the theory of dynamical systems for differential e...
Symmetry breaking bifurcations and dynamical systems have obtained a lot of attention over the last ...
Symmetry braking bifurcations and dynamical systems have obtained a lot of attention over the last y...
The topic of interest is self-contained subsystems of dynamical systems. We focus on classical, dete...
The aim of this work is to classify the generic codimension 1 bifurcations of a map with symmetry. ...
The strict connection between Lie point-symmetries of a dynamical system and its constants of motion...
Whenever systems are governed by continuous chains of causes and effects, their behavior exhibits th...
We study the existence of families of periodic orbits near a symmetric equilibrium point in differen...
In this article we discuss the symmetries of periodic solutions to Hamiltonian systems with two degr...
AbstractA system of ordinary differential equations is said to be a reversible system if there exist...
Circle maps which commute with actions of a finite cyclic or dihedral group, G, are considered as mo...
Circle maps which commute with actions of a finite cyclic or dihedral group, G, are considered as mo...
The paper investigates symmetric periodic motions (SPM) of reversible mechanical systems. A solutio...
We examine the existence of nonsymmetric and symmetric steady state solutions of a general class of ...
This thesis is divided in three main parts. In the first part, we study equivariant forced systems o...
Going back to Henri Poincaré, the main concern of the theory of dynamical systems for differential e...
Symmetry breaking bifurcations and dynamical systems have obtained a lot of attention over the last ...
Symmetry braking bifurcations and dynamical systems have obtained a lot of attention over the last y...
The topic of interest is self-contained subsystems of dynamical systems. We focus on classical, dete...
The aim of this work is to classify the generic codimension 1 bifurcations of a map with symmetry. ...
The strict connection between Lie point-symmetries of a dynamical system and its constants of motion...
Whenever systems are governed by continuous chains of causes and effects, their behavior exhibits th...
We study the existence of families of periodic orbits near a symmetric equilibrium point in differen...
In this article we discuss the symmetries of periodic solutions to Hamiltonian systems with two degr...
AbstractA system of ordinary differential equations is said to be a reversible system if there exist...
Circle maps which commute with actions of a finite cyclic or dihedral group, G, are considered as mo...
Circle maps which commute with actions of a finite cyclic or dihedral group, G, are considered as mo...
The paper investigates symmetric periodic motions (SPM) of reversible mechanical systems. A solutio...
We examine the existence of nonsymmetric and symmetric steady state solutions of a general class of ...
This thesis is divided in three main parts. In the first part, we study equivariant forced systems o...
Going back to Henri Poincaré, the main concern of the theory of dynamical systems for differential e...