Systems with non-smooth inputs: mathematical models of hysteresis Phenomena, biological systems, and electric circuits
Gespeichert in:
| Beteiligte Personen: | , , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2021]
|
| Schlagwörter: | |
| Links: | https://www.degruyter.com/books/9783110706307 https://d-nb.info/1222362783/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032696291&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XVII, 269 Seiten Illustrationen 25 cm, 611 g |
| ISBN: | 9783110706307 311070630X |
Internformat
MARC
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| 100 | 1 | |a Appell, Jürgen |d 1952- |e Verfasser |0 (DE-588)140990860 |4 aut | |
| 245 | 1 | 0 | |a Systems with non-smooth inputs |b mathematical models of hysteresis Phenomena, biological systems, and electric circuits |c Jürgen Appell ; Nguyen Thi Hien ; Lyubov Petrova ; Irina Pryadko |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2021] | |
| 300 | |a XVII, 269 Seiten |b Illustrationen |c 25 cm, 611 g | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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| 653 | |a Nichtlineare Differentialgleichung | ||
| 653 | |a Approximationsmodelle | ||
| 653 | |a Nichtlineare Analysis | ||
| 653 | |a Relais | ||
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| 689 | 0 | 1 | |a Input-Output-Modell |0 (DE-588)4114021-7 |D s |
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| 700 | 1 | |a Thi Hien, Nguyen |e Verfasser |4 aut | |
| 700 | 1 | |a Petrova, Lyubov |e Verfasser |4 aut | |
| 700 | 1 | |a Pryadko, Irina |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1819382259362299904 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION
*
VII
1
1.1
1.1.1
1.1.2
1.1.3
1.2
1.2.1
1.2.2
1.2.3
1.2.4
1.2.5
1.2.6
1.3
1.3.1
1.3.2
1.3.3
1.3.4
1.3.5
1.4
1.4.1
1.4.2
1.4.3
1.4.4
1.4.5
DN-SYSTEMS:
THEORY
*
1
PRELIMINARIES
*
1
ELECTRICAL
CIRCUITS
WITH
IDEAL
DIODE
*
1
A
SPECIAL
CASE
*
3
EQUATIONS
WITH
DISCONTINUOUS
RIGHT
HAND
SIDE
*
4
CONVEX
SETS,
CONES,
AND
PROJECTIONS
*
5
DEFINITIONS
AND
EXAMPLES
*
5
PROJECTIONS
ONTO
CLOSED
CONVEX
SETS
*
11
THE
NORMAL
CONE
*
16
THE
ADJOINT
CONE
-----
19
THE
TANGENT
CONE
*
24
BOUND
CONES
AND
FACES
-----
28
EXISTENCE
AND
UNIQUENESS
OF
SOLUTIONS
*
31
STATEMENT
OF
THE
PROBLEM
*
31
CONTINUATION
OF
THE
RIGHT
HAND
SIDE
-----
34
EULER
POLYGONS
-----
39
SOLVABILITY
IN
THE
ORIGINAL
SET
*
41
UNIQUENESS
AND
CONTINUOUS
DEPENDENCE
*
41
OSCILLATIONS
IN
DN-SYSTEMS
-----46
FORCED
OSCILLATIONS
-----
46
CLOSED
TRAJECTORIES
OF
2D
SYSTEMS
----49
PROOF
OF
THE
MAIN
THEOREM
-----
56
CONDITIONS
FOR
ORBITAL
STABILITY
-----
66
0
RBITALLY
STABLE
TRAJECTORIES
*
73
2
2.1
2.1.1
2.1.2
2.1.3
2.1.4
2.1.5
2.1.6
2.2
2.2.1
2.2.2
2.2.3
2.2.4
DN-SYSTEMS:
APPLICATIONS
*
81
ELECTRICAL
CIRCUITS
WITH
DIODE
CONVERTERS
-----
81
EXAMPLES
OF
DIODE
VOLTAGE
CONVERTERS
*
81
DIODE
NONLINEARITIES
AS
OPERATORS
*
85
THE
OUTER
CHARACTERISTIC
OF
A
DIODE
CONVERTER
*
86
AN
EXAMPLE
-----
88
NUMERICAL
EXPERIMENTS
*
90
ELECTRICAL
DIODE
CIRCUITS
AS
DN-SYSTEMS
*
92
CONVEX
PROGRAMMING
AND
DN-SYSTEMS
*
101
STATEMENT
OF
THE
PROBLEM
*
101
SOME
DIFFERENTIABILITY
PROPERTIES
*
102
AN
UPPER
LIMIT
ESTIMATE
-----
104
NUMERICAL
EXPERIMENTS
*
105
XVI
*
CONTENTS
2.3
2.3.1
2.3.2
2.3.3
BIOLOGICAL
SYSTEMS
WITH
SIZE
CONSTRAINTS
-----
107
THE
CLASSICAL
PREDATOR-PREY
MODEL
*
107
AUTOOSCILLATIONS
IN
A
PREDATOR-PREY
MODEL
*
111
TWO
EXAMPLES
*
114
3
3.1
3.1.1
3.1.2
3.1.3
3.2
3.2.1
3.2.2
3.2.3
3.2.4
3.3
3.3.1
3.3.2
3.3.3
3.3.4
3.3.5
3.4
3.4.1
3.4.2
3.4.3
3.4.4
3.4.5
3.5
3.5.1
3.5.2
3.5.3
EQUATIONS
WITH
NONLINEAR
DIFFERENTIALS
*
123
LOCALLY
EXPLICIT
MODELS
OF
HYSTERESIS
ELEMENTS
*
124
LOCALLY
EXPLICIT
EQUATIONS:
BASIC
NOTIONS
*
124
LOCALLY
EXPLICIT
EQUATIONS:
BASIC
PROPERTIES
*
125
AN
EXAMPLE
-----
129
EQUATIONS
WITH
RELAY
-----
131
HYSTERESIS
RELAYS:
HEURISTIC
DESCRIPTION
-----
131
RELAYS
AS
LOCALLY
EXPLICIT
MODELS
*
133
HYSTERESIS
RELAYS:
BASIC
PROPERTIES
*
134
GENERALIZED
RELAYS:
BASIC
PROPERTIES
*
146
STOPS
AND
PLAYS
*
153
THE
STOP
OPERATOR
----
153
THE
PLAY
OPERATOR
-----
156
AN
ALTERNATIVE
MODEL
FOR
STOP
OPERATORS
*
163
M-SWITCHES
-----
165
A
CONTROL-CORRECTION
SYSTEM
-----
170
SYSTEMS
WITH
LOCALLY
EXPLICIT
EQUATIONS
*
172
CLOSED
SYSTEMS
WITH
RELAY
*
172
SYSTEMS
WITH
M-SWITCH
-----
175
CLOSED
SYSTEMS
WITH
STOP-TYPE
HYSTERESIS
ELEMENT
*
185
ON
(//-STABLE
SOLUTIONS
OF
DYNAMICAL
SYSTEMS
*
187
THE
(//-STABLE
BEHAVIOUR
OF
A
TEMPERATURE
REGULATOR
*
198
LINEAR
SYSTEMS
WITH
NON-SMOOTH
ACTION
----
209
STATEMENT
OF
THE
PROBLEM
*
209
UNIQUE
SOLVABILITY
-----
210
AN
EXAMPLE
-----
213
4
4.1
4.1.1
4.1.2
4.1.3
4.1.4
4.1.5
4.2
4.2.1
4.2.2
SMOOTH
APPROXIMATING
MODELS
*
215
SMOOTH
RELAY
MODELS
WITH
HYSTERESIS
-----
215
EQUIVALENCE
OF
MODELS
-----
216
A
SMOOTH
MODEL
-----
216
THE
NEARNESS
THEOREM:
FORMULATION
-----
220
SOME
ESTIMATES
*
224
THE
NEARNESS
THEOREM:
PROOF
-----
226
PLANAR
SYSTEMS
WITH
ONE
RELAY
*
232
STATEMENT
OF
THE
PROBLEM
-----
232
A
PERIODICITY
CRITERION
-----232
CONTENTS
*
*
XVII
4.2.3
NUMERICAL
ANALYSIS
-----
235
4.2.4
NEARNESS
ESTIMATES
-----
237
4.3
SMOOTH
DESCRIPTION
OF
STOPS
AND
PLAYS
------
238
4.3.1
STATEMENT
OF
THE
PROBLEM
*
238
4.3.2
SMOOTH
MODELS
-----
239
4.3.3
STOPS
WITH
SMOOTH
INPUTS
*
240
4.3.4
STOPS
WITH
CONTINUOUS
INPUTS
-----
241
4.3.5
PLAYS
WITH
CONTINUOUS
INPUTS
-----
243
4.3.6
NUMERICAL
ANALYSIS
AND
NEARNESS
ESTIMATES
*
244
4.4
SMOOTH
DESCRIPTION
OF
DN
MODELS
-----
246
4.4.1
STATEMENT
OF
THE
PROBLEM
*
246
4.4.2
EXACTNESS
OF
SMOOTH
DESCRIPTIONS
*
246
4.4.3
A
SPECIAL
CASE
-----
248
4.4.4
AN
EXAMPLE
*
251
4.4.5
NUMERICAL
ANALYSIS
AND
NEARNESS
ESTIMATES
*
254
APPENDIX:
MATHEMATICS
PROCEDURES
*
257
BIBLIOGRAPHY
*
259
INDEX
*
265
|
| any_adam_object | 1 |
| author | Appell, Jürgen 1952- Thi Hien, Nguyen Petrova, Lyubov Pryadko, Irina |
| author_GND | (DE-588)140990860 |
| author_facet | Appell, Jürgen 1952- Thi Hien, Nguyen Petrova, Lyubov Pryadko, Irina |
| author_role | aut aut aut aut |
| author_sort | Appell, Jürgen 1952- |
| author_variant | j a ja h n t hn hnt l p lp i p ip |
| building | Verbundindex |
| bvnumber | BV047292980 |
| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)1250352234 (DE-599)DNB1222362783 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV047292980 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T19:15:17Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 9783110706307 311070630X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032696291 |
| oclc_num | 1250352234 |
| open_access_boolean | |
| owner | DE-703 DE-83 |
| owner_facet | DE-703 DE-83 |
| physical | XVII, 269 Seiten Illustrationen 25 cm, 611 g |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | De Gruyter |
| record_format | marc |
| spellingShingle | Appell, Jürgen 1952- Thi Hien, Nguyen Petrova, Lyubov Pryadko, Irina Systems with non-smooth inputs mathematical models of hysteresis Phenomena, biological systems, and electric circuits Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd Input-Output-Modell (DE-588)4114021-7 gnd |
| subject_GND | (DE-588)4042093-0 (DE-588)4114021-7 |
| title | Systems with non-smooth inputs mathematical models of hysteresis Phenomena, biological systems, and electric circuits |
| title_auth | Systems with non-smooth inputs mathematical models of hysteresis Phenomena, biological systems, and electric circuits |
| title_exact_search | Systems with non-smooth inputs mathematical models of hysteresis Phenomena, biological systems, and electric circuits |
| title_full | Systems with non-smooth inputs mathematical models of hysteresis Phenomena, biological systems, and electric circuits Jürgen Appell ; Nguyen Thi Hien ; Lyubov Petrova ; Irina Pryadko |
| title_fullStr | Systems with non-smooth inputs mathematical models of hysteresis Phenomena, biological systems, and electric circuits Jürgen Appell ; Nguyen Thi Hien ; Lyubov Petrova ; Irina Pryadko |
| title_full_unstemmed | Systems with non-smooth inputs mathematical models of hysteresis Phenomena, biological systems, and electric circuits Jürgen Appell ; Nguyen Thi Hien ; Lyubov Petrova ; Irina Pryadko |
| title_short | Systems with non-smooth inputs |
| title_sort | systems with non smooth inputs mathematical models of hysteresis phenomena biological systems and electric circuits |
| title_sub | mathematical models of hysteresis Phenomena, biological systems, and electric circuits |
| topic | Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd Input-Output-Modell (DE-588)4114021-7 gnd |
| topic_facet | Nichtlineare Funktionalanalysis Input-Output-Modell |
| url | https://www.degruyter.com/books/9783110706307 https://d-nb.info/1222362783/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032696291&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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