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Note 12 - Commitments - Other Commitments (Details) - USD ($) | Dec. 31, 2020 | Dec. 31, 2019
--- | --- | ---
Contractual obligation |  | $ 431,716 | $ 431,716
Management Employment Agreements with Bonus and Severance Commitment Contingencies [Member] |  |  |
Contractual obligation | [1] | 350,000 | 350,000
Other Employee Severance Commitment Contingencies [Member] |  |  |
Contractual obligation |  | $ 81,716 | $ 81,716
[1] | Excludes Retention Bonus Payments

X
- Definition Minimum amount of other commitment not otherwise specified in the taxonomy. Excludes commitments explicitly modeled in the taxonomy, including but not limited to, long-term and short-term purchase commitments, recorded and unrecorded purchase obligations, supply commitments, registration payment arrangements, leases, debt, product warranties, guarantees, environmental remediation obligations, and pensions. + References No definition available. + Details
Name: | us-gaap_OtherCommitment
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Details
Name: | us-gaap_OtherCommitmentsAxis=gyro_ManagementEmploymentAgreementsWithBonusAndSeveranceCommitmentContingenciesMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_OtherCommitmentsAxis=gyro_OtherEmployeeSeveranceCommitmentContingenciesMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |