Nonlinear Maps: From the Toulouse Colloqium (1973) to NOMA’13

DOI10.1007/978-3-319-12328-8_5zbMath1321.37003OpenAlexW335884901MaRDI QIDQ2949227

Publication date: 8 October 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12328-8_5

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of mathematics in the 21st century (01A61) History of dynamical systems and ergodic theory (37-03)

Cites Work

Knotted periodic orbits in suspensions of Smale's horseshoe: torus knots and bifurcation sequences
Recurrences and discrete dynamic systems
Writing the history of dynamical systems and chaos: `Longue durée' and revolution, disciplines and cultures
Sensitivity problems related to certain bifurcations in non-linear recurrence relations
The Chaos Avant-Garde
FROM THE BOX-WITHIN-A-BOX BIFURCATION ORGANIZATION TO THE JULIA SET PART I: REVISITED PROPERTIES OF THE SETS GENERATED BY A QUADRATIC COMPLEX MAP WITH A REAL PARAMETER
Period Three Implies Chaos
Chua's Circuit and the Qualitative Theory of Dynamical Systems
Some Historical Aspects of Nonlinear Dynamics: Possible Trends for the Future
FRACTIONAL HARMONIC SYNCHRONIZATION IN THE DUFFING-RAYLEIGH DIFFERENTIAL EQUATION
SINGULAR POINTS WITH TWO MULTIPLIERS, S₁=−S₂=1, IN THE BIFURCATION CURVES OF MAPS
BIFURCATION STRUCTURE IN A MODEL OF A FREQUENCY MODULATED CO₂ LASER
“CROSSROAD AREA- DISSYMMETRICAL SPRING AREA — SYMMETRICAL SPRING AREA,” AND “DOUBLE CROSSROAD AREA — DOUBLE SPRING AREA” TRANSITIONS
ON THE "CROSSROAD AREA–SADDLE AREA" AND "CROSSROAD AREA–SPRING AREA" TRANSITIONS
SINGULARITIES OF THE PARAMETRIC PLANE OF AN n-DIMENSIONAL MAP.
DETERMINATION OF DIFFERENT CONFIGURATIONS OF FOLD AND FLIP BIFURCATION CURVES OF A ONE OR TWO-DIMENSIONAL MAP
THE DOVETAIL BIFURCATION STRUCTURE AND ITS QUALITATIVE CHANGES
ON A "CROSSROAD AREA–SPRING AREA" TRANSITION OCCURRING IN A DUFFING–RAYLEIGH EQUATION WITH A PERIODICAL EXCITATION
APPEARANCE AND DISAPPEARANCE OF A DOVETAIL STRUCTURE IN THE PARAMETER PLANE OF AN n-DIMENSIONAL MAP
BIFURCATION STRUCTURES GENERATED BY THE NONAUTONOMOUS DUFFING EQUATION
On the Embedding of a (p-1)-Dimensional Noninvertible Map into a p-Dimensional Invertible Map (p=2,3)
EXISTENCE OF A CUSP POINT ON A FOLD BIFURCATION CURVE AND STABILITY OF THE ASSOCIATED FIXED POINT: CASE OF AN n-DIMENSIONAL MAP
REDUCIBLE FRACTIONAL HARMONICS GENERATED BY THE NONAUTONOMOUS DUFFING–RAYLEIGH EQUATION: POCKETS OF REDUCIBLE HARMONICS AND ARNOLD'S TONGUES
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