1.

Record Nr.

UNINA9910829822303321

Autore

Nayfeh Ali Hasan <1933->

Titolo

The method of normal forms [[electronic resource] /] / Ali Hasan Nayfeh

Pubbl/distr/stampa

Weinheim, Germany, : Wiley-VCH, c2011

ISBN

3-527-63577-7

1-283-92749-7

3-527-63578-5

3-527-63580-7

Edizione

[2nd, updated and enl. ed.]

Descrizione fisica

1 online resource (343 p.)

Disciplina

512.9/44

512.944

Soggetti

Normal forms (Mathematics)

Differential equations - Numerical solutions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

The Method of Normal Forms; Contents; Preface; Introduction; 1 SDOF Autonomous Systems; 1.1 Introduction; 1.2 Duffing Equation; 1.3 Rayleigh Equation; 1.4 Duffing-Rayleigh-van der Pol Equation; 1.5 An Oscillator with Quadratic and Cubic Nonlinearities; 1.5.1 Successive Transformations; 1.5.2 The Method of Multiple Scales; 1.5.3 A Single Transformation; 1.6 A General System with Quadratic and Cubic Nonlinearities; 1.7 The van der Pol Oscillator; 1.7.1 The Method of Normal Forms; 1.7.2 The Method of Multiple Scales; 1.8 Exercises; 2 Systems of First-Order Equations; 2.1 Introduction

2.2 A Two-Dimensional System with Diagonal Linear Part2.3 A Two-Dimensional System with a Nonsemisimple Linear Form; 2.4 An n-Dimensional System with Diagonal Linear Part; 2.5 A Two-Dimensional System with Purely Imaginary Eigenvalues; 2.5.1 The Method of Normal Forms; 2.5.2 The Method of Multiple Scales; 2.6 A Two-Dimensional System with Zero Eigenvalues; 2.7 A Three-Dimensional System with Zeroand Two Purely Imaginary Eigenvalues; 2.8 The Mathieu Equation; 2.9 Exercises; 3 Maps; 3.1 Linear Maps; 3.1.1 Case of Distinct Eigenvalues; 3.1.2 Case of Repeated Eigenvalues; 3.2 Nonlinear Maps



3.3 Center-Manifold Reduction3.4 Local Bifurcations; 3.4.1 Fold or Tangent or Saddle-Node Bifurcation; 3.4.2 Transcritical Bifurcation; 3.4.3 Pitchfork Bifurcation; 3.4.4 Flip or Period-Doubling Bifurcation; 3.4.5 Hopf or Neimark-Sacker Bifurcation; 3.5 Exercises; 4 Bifurcations of Continuous Systems; 4.1 Linear Systems; 4.1.1 Case of Distinct Eigenvalues; 4.1.2 Case of Repeated Eigenvalues; 4.2 Fixed Points of Nonlinear Systems; 4.2.1 Stability of Fixed Points; 4.2.2 Classification  of Fixed Points; 4.2.3 Hartman-Grobman and Shoshitaishvili Theorems; 4.3 Center-Manifold Reduction

4.4 Local Bifurcations of Fixed Points4.4.1 Saddle-Node Bifurcation; 4.4.2 Nonbifurcation Point; 4.4.3 Transcritical Bifurcation; 4.4.4 Pitchfork Bifurcation; 4.4.5 Hopf Bifurcations; 4.5 Normal Forms of Static Bifurcations; 4.5.1 The Method of Multiple Scales; 4.5.2 Center-Manifold Reduction; 4.5.3 A Projection Method; 4.6 Normal Form of Hopf Bifurcation; 4.6.1 The Method of Multiple Scales; 4.6.2 Center-Manifold Reduction; 4.6.3 Projection Method; 4.7 Exercises; 5 Forced Oscillations of the Duffing Oscillator; 5.1 Primary Resonance; 5.2 Subharmonic Resonance of Order One-Third

5.3 Superharmonic Resonance of Order Three5.4 An Alternate Approach; 5.4.1 Subharmonic Case; 5.4.2 Superharmonic Case; 5.5 Exercises; 6 Forced Oscillations of SDOF Systems; 6.1 Introduction; 6.2 Primary Resonance; 6.3 Subharmonic Resonance of Order One-Half; 6.4 Superharmonic Resonance of Order Two; 6.5 Subharmonic Resonance of Order One-Third; 7 Parametrically Excited Systems; 7.1 The Mathieu Equation; 7.1.1 Fundamental Parametric Resonance; 7.1.2 Principal Parametric Resonance; 7.2 Multiple-Degree-of-Freedom Systems; 7.2.1 The Case of  Near 2+1; 7.2.2 The Case of  Near 2-1

7.2.3 The Case of  Near 2+1 and 3-2

Sommario/riassunto

Based on a successful text, this second edition presents different concepts from dynamical systems theory and nonlinear dynamics. The introductory text systematically introduces models and techniques and states the relevant ranges of validity and applicability. New to this edition:3 new chapters dedicated to Maps, Bifurcations of Continuous Systems, and Retarded Systems Key features:Retarded Systems has become a topic of major importance in several applications, in mechanics and other areasProvides a clear operational framework for conscious use of co



2.

Record Nr.

UNINA9910825631603321

Autore

Ingle Joseph B (Joseph Burton), <1946->

Titolo

Slouching toward tyranny : mass incarceration, death sentences and racism / / Joseph B. Ingle

Pubbl/distr/stampa

New York : , : Algora Publishing, , 2015

©2015

ISBN

1-62894-122-7

Descrizione fisica

1 online resource (260 p.)

Disciplina

364.3/400973

Soggetti

Discrimination in criminal justice administration - United States - History

Discrimination in capital punishment - United States - History

Race discrimination - United States - History

United States Race relations History

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Nota di contenuto

""Acknowledgments""; ""Table of Contents""; ""Introduction""; ""Warren McCleskey: The Man""; ""The Trial""; ""The Appeals""; ""Execution Day""; ""Coda to McCleskey v. Kemp""; ""Chapter I. Arrival and Beginnings (1619-1808)""; ""Chapter 2. Willie Watson, Jr.""; ""Chapter 3. The Slavery Regime (1662-1865)""; ""Chapter 4. Thomas Jefferson (1743-1826)""; ""Jefferson and the Other Minority: The Indians""; ""The Malevolence of Innocence ""; ""Chapter 5. The South and the Death Penalty: 1984""; ""The Context""; ""Chapter 6. The Tyranny of the Majority""

""Chapter 7. The Genocide Regime (1830-1890) """"The Cherokee""; ""Indian Removal""; ""Indian Disfranchisement of Life and Liberty Continues""; ""The Plains Indians""; ""Chapter 8. Reconstruction (1866-1876)""; ""Report from the Conquered South""; ""Check and Checkmate""; ""Congress passes the Civil Rights Act over Johnson's veto ""; ""Ex-Slaves Speak""; ""Government Intervention""; ""W.E.B. Du Bois describes the forces at work during Reconstruction:""; ""The Fifteenth Amendment""; ""White Flight in the North""; ""Southern Retrenchment""

""Chapter 9. The Regime of Segregation (1883-1953)""""Section I. The Supreme Court Revanchement on Civil Rights""; ""Frederick Douglass Responds to the Civil Rights Cases Decision""; ""Ida Wells Fights Back"";



""Plessy v. Ferguson""; ""The Social Reality""; ""Two Significant Political Events""; ""Spokesmen for the Negro""; ""From the New Deal to Truman""; ""Section II. The Black Response to the Segregation Regime""; ""The Truman Administration""; ""Section III. Penitentiaries""; ""The Convict Lease System""; ""A Note on Tennessee: The Coal Creek Rebellion""

""Section IV. The State Farm System""""Brief History of Criminal Justice in Louisiana""; ""Peonage: Blacks Under James""; ""Angola: The Plantation Prison""; ""Huey Long and Angola""; ""Angola: Brutality Made Public""; ""Reform at Angola""; ""Chapter 10. The Beat Goes On""; ""From Angola, Louisiana to Huntsville, Texas""; ""Chapter 11. The Second Reconstruction""; ""The Public Swimming Pool""; ""School Desegregation""; ""Rosa Parks and the Montgomery Bus Boycott""; ""Black Resistance: Little Rock, Greensboro and Nashville""; ""A Telephone Call and a Presidential Election""

""The Freedom Rides""""Perspective from High School""; ""President Lyndon Johnson""; ""Presidential Politics""; ""The Nixon Administration""; ""The Spring of 1970""; ""The War in Vietnam ""; ""The End of the Second Reconstruction""; ""Chapter 12. The Regime of Disfranchisement I (1980-92)""; ""McCleskey v. Kemp""; ""The Code""; ""Events of 1975-1995""; ""The War on Drugs""; ""The Politics of Killing""; ""The Sea Change""; ""Chapter 13. Willie Darden""; ""Chapter 14. The Regime of Disfranchisement  II (2000-2008)""; ""Section I. The War on Drugs  ""; ""Section II. The Courts""

""The Sixth Circuit Court of Appeals""