Results 251 to 260 of about 426,018 (280)

THE BASIC INVARIANTS OF LONG CURVE AND CLOSED CURVE PERESTROIKAS

Journal of Knot Theory and Its Ramifications, 1998
We give the relations between invariants of closed curves and that of long curves. By these relations we study all extremal values of invariants of long curves via which of closed curves and give the explicite formulas for these extremal values.
Zhou, Jianyi, Zou, Jiancheng, Pan, Jianzhong   +2 more
openaire   +2 more sources

ON THE DETERMINATION OF THE STOCHASTICITY THRESHOLD OF INVARIANT CURVES

International Journal of Bifurcation and Chaos, 1995
We consider the problem of determining the stochasticity transition value in nearly-integrable mappings. We perform explicitly a canonical transformation, which conjugates the original mapping to an integrable one, up to a given order in the perturbing parameter.
CELLETTI, ALESSANDRA, Froeschle', C.
openaire   +2 more sources

Pseudoautomorphisms with Invariant Curves

2015
Inspired by constructions of automorphisms on rational surfaces and a recent paper of Perroni and Zhang (Mathematische Annalen 359(1–2):189–209, 2014), we give a concrete construction of pseudoautomorphisms of higher dimensional rational surfaces that have an invariant cuspidal curve and first dynamical degree larger than one.
Eric Bedford, Jeffery Diller, Kyounghee Kim   +2 more
openaire   +1 more source

The Arf—invariant and the Arnold invariants of plane curves

1997
In [A] V.I.Arnold considered closed generic plane curves, i.e. immersions S 1 → R 2 , the images of which have no singularities except simple (double) self-intersections. In a generic one-parameter family of immersions three types of modifications (“perestroykas”) of generic curves can be met.
S. M. Gusein-Zade, S. M. Natanzon
openaire   +1 more source

Integrability of Oscillators and Transcendental Invariant Curves

Qualitative Theory of Dynamical Systems
Peer ...
Giné, Jaume, Sinelshchikov, Dmitry I.
openaire   +2 more sources

RIBBON KNOTS AND INVARIANTS OF THETA-CURVES

Journal of Knot Theory and Its Ramifications, 1995
We define invariants of higher dimensional theta-curves, and give a characterization of a trivial curve in the case of the classical dimension. We introduce a ribbon presentation of a knot and equivalence in ribbon presentations. Then a ribbon presentation induces a theta-curve, and invariants of theta-curves give those of ribbon presentations.
openaire   +2 more sources

Transformations of Closed Invariant Curves and Closed-Invariant-Curve-Like Chaotic Attractors in Piecewise Smooth Systems

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2021
Zhanybai T Zhusubaliyev, Viktor Avrutin
exaly  

Doubling of a closed invariant curve in an impulsive Goodwin’s oscillator with delay

Chaos, Solitons and Fractals, 2021
Zhanybai T Zhusubaliyev, Viktor Avrutin, Alexander Medvedev   +2 more
exaly  

Bifurcation of the Birth of a Closed Invariant Curve in a One-Parameter Family of Quadratic Mappings of the Plane

Russian Mathematics, 2020
exaly  

A note on a conjecture for the critical curve of a weakly coupled system of semilinear wave equations with scale‐invariant lower order terms

Mathematical Methods in the Applied Sciences, 2020
Alessandro Palmieri
exaly