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Complex dynamics
Known as:
Complex analytic dynamics
, Holomorphic dynamics
, Conformal dynamics
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Complex dynamics is the study of dynamical systems defined by iteration of functions on complex number spaces. Complex analytic dynamics is the study…
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Related topics
Related topics
13 relations
Cantor function
Chaos theory
Complex quadratic polynomial
Connectedness locus
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2010
Highly Cited
2010
Logical Analysis of Hybrid Systems - Proving Theorems for Complex Dynamics
André Platzer
2010
Corpus ID: 39777197
Hybrid systems are models for complex physical systems and have become a widely used concept for understanding their behavior…
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Highly Cited
2010
Highly Cited
2010
Fractional calculus models of complex dynamics in biological tissues
R. Magin
Computers and Mathematics with Applications
2010
Corpus ID: 1895751
Highly Cited
2009
Highly Cited
2009
Real-Time Motion Planning With Applications to Autonomous Urban Driving
Y. Kuwata
,
S. Karaman
,
Justin Teo
,
Emilio Frazzoli
,
J. How
,
Gaston A. Fiore
IEEE Transactions on Control Systems Technology
2009
Corpus ID: 14526513
This paper describes a real-time motion planning algorithm, based on the rapidly-exploring random tree (RRT) approach, applicable…
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Highly Cited
2008
Highly Cited
2008
Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory
W. Götze
2008
Corpus ID: 118770084
1. Glassy dynamics of liquids 2. Correlation functions 3. Elements of liquid dynamics 4. Foundations of the mode-coupling theory…
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Highly Cited
2007
Highly Cited
2007
The complex dynamics of collaborative tagging
H. Halpin
,
V. Robu
,
H. Shepherd
The Web Conference
2007
Corpus ID: 13935265
The debate within the Web community over the optimal means by which to organize information often pits formalized classifications…
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Highly Cited
2002
Highly Cited
2002
Business dynamics : systems thinking and modelling for acomplex world
J. Sterman
2002
Corpus ID: 18871550
Todays problems often arise as unintended consequences of yesterdays solutions. Social systems often suffer from policy…
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Highly Cited
2001
Highly Cited
2001
An initial model fo complex dynamics in electric power system blackouts
I. Dobson
,
B. Carreras
,
V. Lynch
,
D. Newman
Proceedings of the Annual Hawaii International…
2001
Corpus ID: 7708994
We define a model for the evolution of a long series of electric power transmission system blackouts. The model describes…
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Highly Cited
1994
Highly Cited
1994
Complex Dynamics and Renormalization
C. McMullen
1994
Corpus ID: 122397945
Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents…
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Highly Cited
1992
Highly Cited
1992
Complex Dynamics in Ecological Time Series
P. Turchin
,
Andrew D. Taylor
1992
Corpus ID: 17140081
Although the possibility of complex dynamical behaviors-limit cycles, quasiperiodic oscillations, and aperiodic chaos-has been…
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Highly Cited
1984
Highly Cited
1984
Complex analytic dynamics on the Riemann sphere
P. Blanchard
1984
Corpus ID: 51760636
Dichotomie dynamique de Fatou et Julia. Points periodiques. Consequences du theoreme de Montel. L'ensemble de Julia est la…
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