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The Resource Mathematical Modeling and Applications in Nonlinear Dynamics

Mathematical Modeling and Applications in Nonlinear Dynamics

Label
Mathematical Modeling and Applications in Nonlinear Dynamics
Title
Mathematical Modeling and Applications in Nonlinear Dynamics
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Contributor
Subject
Language
eng
Member of
Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Nonlinear Systems and Complexity
Series volume
v.14
Mathematical Modeling and Applications in Nonlinear Dynamics
Label
Mathematical Modeling and Applications in Nonlinear Dynamics
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=4386027
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Copyright
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Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Preface -- Contents -- 1 The Solution of the Second Peskin Conjecture and Developments -- 1.1 Introduction and Preliminaries -- 1.2 The Solution of the Peskin Second Conjecture -- 1.2.1 Construction of the Prototype Map -- 1.2.2 The General Case: The Multidimensional System of Nonidentical Oscillators -- 1.2.3 Possible Generalization -- 1.3 Integrate-and-Fire Models with Continuous Couplings -- 1.3.1 The Model of Two Identical Oscillators -- 1.3.2 Synchronization of an Ensemble of Identical Oscillators -- 1.3.3 Nonidentical Oscillators -- 1.3.4 Simulations -- 1.4 Integrate-and-Fire Oscillators with Delayed Couplings -- 1.4.1 A Couple of Identical Oscillators -- 1.4.2 Nonidentical Oscillators: The General Case -- 1.4.3 The Simulation Result -- 1.5 Conclusion -- References -- 2 On Periodic Motions in a Time-Delayed, Quadratic Nonlinear Oscillator with Excitation -- 2.1 Introduction -- 2.1.1 Analytical Solutions -- 2.2 Numerical Illustrations -- 2.3 Conclusion -- References -- 3 Mathematical Analysis of a Delayed Hematopoietic Stem Cell Model with Wazewska-Lasota Functional Production Type -- 3.1 Biological Background -- 3.2 Description of Hematopoietic Stem Cells -- 3.3 Steady States and Stability -- 3.3.1 Existence of Possible Steady States -- 3.3.2 Stability of Steady States for x=0 -- 3.3.3 Stability of Steady States for x>0 -- 3.4 Branch of Bifurcating Periodic Solutions -- 3.5 Direction of Hopf Bifurcation -- References -- 4 Random Noninstantaneous Impulsive Models for Studying Periodic Evolution Processes in Pharmacotherapy -- 4.1 Introduction -- 4.2 Preliminaries -- 4.3 Existence Results on Periodic Solutions for the Determined Case -- 4.4 Existence Results on Periodic and Subharmonic Solutions for Random Case -- 4.5 Dynamics of Random Systems -- 4.6 Examples -- References
  • 5 Boundedness of Solutions to a Certain System of Differential Equations with Multiple Delays -- 5.1 Introduction -- 5.2 The Main Results -- 5.3 Conclusion -- References -- 6 Delay Effects on the Dynamics of the Lengyel-Epstein Reaction-Diffusion Model -- 6.1 Introduction -- 6.2 The ODE Model with Delay -- 6.2.1 Analysis of System (6.4) -- 6.2.2 Analysis of System (6.5) -- 6.3 The PDE Model with Delay -- 6.3.1 Occurrence of Hopf Bifurcation -- 6.3.2 Direction and Stability of the Hopf Bifurcation -- 6.3.3 Analysis of Spatially Homogeneous Lengyel-Epstein System with Delay -- 6.4 Numerical Simulations -- 6.4.1 Numerical Simulations of System (6.4) -- 6.4.2 Numerical Simulations of System (6.5) -- 6.5 Conclusion -- References -- 7 Almost Periodic Solutions of Evolution Differential Equations with Impulsive Action -- 7.1 Introduction -- 7.2 Preliminaries -- 7.3 Exponential Dichotomy -- 7.4 Almost Periodic Solutions of Equations with Fixed Moments of Impulsive Action -- 7.5 Almost Periodic Solutions of Equations with Nonfixed Moments of Impulsive Action -- 7.6 Equations with Unbounded Operators Bj -- References
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{'f': 'http://opac.lib.rpi.edu/record=b4384815'}
Extent
1 online resource (210 pages)
Form of item
online
Isbn
9783319266305
Media category
computer
Media MARC source
rdamedia
Media type code
c
Sound
unknown sound
Specific material designation
remote

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